LED Light Show Energy · AI Generator #GEN-0D0124A0

Physics · modern-physics

Problem

A concert venue uses LED lights that emit blue photons with wavelength

\lambda = 450\;\text{nm}

. During a 3-hour show, the LED array consumes electrical energy at a rate of

P = 2.4\;\text{kW}

. If the LED system operates with an efficiency of

\eta = 40\%

(meaning 40% of electrical energy is converted to light energy), how many blue photons are emitted during the entire show? Use

h = 6.63 \times 10^{-34}\;\text{J·s}

and

c = 3.00 \times 10^8\;\text{m/s}